Acronym stotet Name octagram-tetrahedron duoprism,octagram duofastegium Circumradius sqrt[(11-4 sqrt(2))/8] = 0.817247 Confer n,tet-dip

As abstract polytope stotet is isomorphic to otet, thereby replacing octagrams by octagons, resp. stop by op, resp. tistodip by todip.

Incidence matrix according to Dynkin symbol

```x8/3o x3o3o

.   . . . . | 32 |  2  3 | 1  6  3 | 3  6 1 | 3 2
------------+----+-------+---------+--------+----
x   . . . . |  2 | 32  * | 1  3  0 | 3  3 0 | 3 1
.   . x . . |  2 |  * 48 | 0  2  2 | 1  4 1 | 2 2
------------+----+-------+---------+--------+----
x8/3o . . . |  8 |  8  0 | 4  *  * | 3  0 0 | 3 0
x   . x . . |  4 |  2  2 | * 48  * | 1  2 0 | 2 1
.   . x3o . |  3 |  0  3 | *  * 32 | 0  2 1 | 1 2
------------+----+-------+---------+--------+----
x8/3o x . . ♦ 16 | 16  8 | 2  8  0 | 6  * * | 2 0
x   . x3o . ♦  6 |  3  6 | 0  3  2 | * 32 * | 1 1
.   . x3o3o ♦  4 |  0  6 | 0  0  4 | *  * 8 | 0 2
------------+----+-------+---------+--------+----
x8/3o x3o . ♦ 24 | 24 24 | 3 24  8 | 3  8 0 | 4 *
x   . x3o3o ♦  8 |  4 12 | 0  6  8 | 0  4 2 | * 8
```

```x4/3x x3o3o

.   . . . . | 32 |  1  1  3 | 1  3  3  3 | 3  3  3 1 | 3 1 1
------------+----+----------+------------+-----------+------
x   . . . . |  2 | 16  *  * | 1  3  0  0 | 3  3  0 0 | 3 1 0
.   x . . . |  2 |  * 16  * | 1  0  3  0 | 3  0  3 0 | 3 0 1
.   . x . . |  2 |  *  * 48 | 0  1  1  2 | 1  2  2 1 | 2 1 1
------------+----+----------+------------+-----------+------
x4/3x . . . |  8 |  4  4  0 | 4  *  *  * | 3  0  0 0 | 3 0 0
x   . x . . |  4 |  2  0  2 | * 24  *  * | 1  2  0 0 | 2 1 0
.   x x . . |  4 |  0  2  2 | *  * 24  * | 1  0  2 0 | 2 0 1
.   . x3o . |  3 |  0  0  3 | *  *  * 32 | 0  1  1 1 | 1 1 1
------------+----+----------+------------+-----------+------
x4/3x x . . ♦ 16 |  8  8  8 | 2  4  4  0 | 6  *  * * | 2 0 0
x   . x3o . ♦  6 |  3  0  6 | 0  3  0  2 | * 16  * * | 1 1 0
.   x x3o . ♦  6 |  0  3  6 | 0  0  3  2 | *  * 16 * | 1 0 1
.   . x3o3o ♦  4 |  0  0  6 | 0  0  0  4 | *  *  * 8 | 0 1 1
------------+----+----------+------------+-----------+------
x4/3x x3o . ♦ 24 | 12 12 24 | 3 12 12  8 | 3  4  4 0 | 4 * *
x   . x3o3o ♦  8 |  4  0 12 | 0  6  0  8 | 0  4  0 2 | * 4 *
.   x x3o3o ♦  8 |  0  4 12 | 0  0  6  8 | 0  0  4 2 | * * 4
```

```ox3oo xx8/3oo&#x   → height = sqrt(2/3) = 0.816497
({8} || tistodip)

o.3o. o.8/3o.    | 8  * | 2  3  0  0 | 1  3  6 0  0 0 | 1  6 3 0 0 | 2 3 0
.o3.o .o8/3.o    | * 24 | 0  1  2  2 | 0  2  2 1  4 1 | 1  4 1 2 2 | 2 2 1
-----------------+------+------------+----------------+------------+------
.. .. x.   ..    | 2  0 | 8  *  *  * | 1  0  3 0  0 0 | 0  3 3 0 0 | 1 3 0
oo3oo oo8/3oo&#x | 1  1 | * 24  *  * | 0  2  2 0  0 0 | 1  4 1 0 0 | 2 2 0
.x .. ..   ..    | 0  2 | *  * 24  * | 0  1  0 1  2 0 | 1  2 0 2 1 | 2 1 1
.. .. .x   ..    | 0  2 | *  *  * 24 | 0  0  1 0  2 1 | 0  2 1 1 2 | 1 2 1
-----------------+------+------------+----------------+------------+------
.. .. x.8/3o.    | 8  0 | 8  0  0  0 | 1  *  * *  * * | 0  0 3 0 0 | 0 3 0
ox .. ..   ..&#x | 1  2 | 0  2  1  0 | * 24  * *  * * | 1  2 0 0 0 | 2 1 0
.. .. xx   ..&#x | 2  2 | 1  2  0  1 | *  * 24 *  * * | 0  2 1 0 0 | 1 2 0
.x3.o ..   ..    | 0  3 | 0  0  3  0 | *  *  * 8  * * | 1  0 0 2 0 | 2 0 1
.x .. .x   ..    | 0  4 | 0  0  2  2 | *  *  * * 24 * | 0  1 0 1 1 | 1 1 1
.. .. .x8/3.o    | 0  8 | 0  0  0  8 | *  *  * *  * 3 | 0  0 1 0 2 | 0 2 1
-----------------+------+------------+----------------+------------+------
ox3oo ..   ..&#x ♦ 1  3 | 0  3  3  0 | 0  3  0 1  0 0 | 8  * * * * | 2 0 0
ox .. xx   ..&#x ♦ 2  4 | 1  4  2  2 | 0  2  2 0  1 0 | * 24 * * * | 1 1 0
.. .. xx8/3oo&#x ♦ 8  8 | 8  8  0  8 | 1  0  8 0  0 1 | *  * 3 * * | 0 2 0
.x3.o .x   ..    ♦ 0  6 | 0  0  6  3 | 0  0  0 2  3 0 | *  * * 8 * | 1 0 1
.x .. .x8/3.o    ♦ 0 16 | 0  0  8 16 | 0  0  0 0  8 2 | *  * * * 3 | 0 1 1
-----------------+------+------------+----------------+------------+------
ox3oo xx   ..    ♦ 2  6 | 1  6  6  3 | 0  6  3 2  3 0 | 2  3 0 1 0 | 8 * *
ox .. xx8/3oo&#x ♦ 8 16 | 8 16  8 16 | 1  8 16 0  8 2 | 0  8 2 0 1 | * 3 *
.x3.o .x8/3.o    ♦ 0 24 | 0  0 24 24 | 0  0  0 8 24 3 | 0  0 0 8 3 | * * 1
```

```ox xo xx8/3oo&#x   → height = 1/sqrt(2) = 0.707107
(stop || lacing-ortho stop)

o. o. o.8/3o.    | 16  * | 1  2  2 0  0 | 2 1  1  2  4 0 0 | 1 1  2  4 2 0 | 2 1 2
.o .o .o8/3.o    |  * 16 | 0  0  2 1  2 | 0 0  2  1  4 2 1 | 0 1  4  2 2 1 | 2 2 1
-----------------+-------+--------------+------------------+---------------+------
.. x. ..   ..    |  2  0 | 8  *  * *  * | 2 0  0  2  0 0 0 | 1 1  0  2 0 0 | 2 0 2
.. .. x.   ..    |  2  0 | * 16  * *  * | 1 1  0  0  2 0 0 | 1 0  1  2 2 0 | 1 1 2
oo oo oo8/3oo&#x |  1  1 | *  * 32 *  * | 0 0  1  1  2 0 0 | 0 1  2  2 1 0 | 2 1 1
.x .. ..   ..    |  0  2 | *  *  * 8  * | 0 0  2  0  0 2 0 | 0 1  4  0 0 1 | 2 2 0
.. .. .x   ..    |  0  2 | *  *  * * 16 | 0 0  0  0  2 1 1 | 0 0  2  1 2 1 | 1 2 1
-----------------+-------+--------------+------------------+---------------+------
.. x. x.   ..    |  4  0 | 2  2  0 0  0 | 8 *  *  *  * * * | 1 0  0  2 0 0 | 1 0 2
.. .. x.8/3o.    |  8  0 | 0  8  0 0  0 | * 2  *  *  * * * | 1 0  0  0 2 0 | 0 1 2
ox .. ..   ..&#x |  1  2 | 0  0  2 1  0 | * * 16  *  * * * | 0 1  2  0 0 0 | 2 1 0
.. xo ..   ..&#x |  2  1 | 1  0  2 0  0 | * *  * 16  * * * | 0 1  0  2 0 0 | 2 0 1
.. .. xx   ..&#x |  2  2 | 0  1  2 0  1 | * *  *  * 32 * * | 0 0  1  1 1 0 | 1 1 1
.x .. .x   ..    |  0  4 | 0  0  0 2  2 | * *  *  *  * 8 * | 0 0  2  0 0 1 | 1 2 0
.. .. .x8/3.o    |  0  8 | 0  0  0 0  8 | * *  *  *  * * 2 | 0 0  0  0 2 1 | 0 2 1
-----------------+-------+--------------+------------------+---------------+------
.. x. x.8/3o.    ♦ 16  0 | 8 16  0 0  0 | 8 2  0  0  0 0 0 | 1 *  *  * * * | 0 0 2
ox xo ..   ..&#x ♦  2  2 | 1  0  4 1  0 | 0 0  2  2  0 0 0 | * 8  *  * * * | 2 0 0
ox .. xx   ..&#x ♦  2  4 | 0  1  4 2  2 | 0 0  2  0  2 1 0 | * * 16  * * * | 1 1 0
.. xo xx   ..&#x ♦  4  2 | 2  2  4 0  1 | 1 0  0  2  2 0 0 | * *  * 16 * * | 1 0 1
.. .. xx8/3oo&#x ♦  8  8 | 0  8  8 0  8 | 0 1  0  0  8 0 1 | * *  *  * 4 * | 0 1 1
.x .. .x8/3.o    ♦  0 16 | 0  0  0 8 16 | 0 0  0  0  0 8 2 | * *  *  * * 1 | 0 2 0
-----------------+-------+--------------+------------------+---------------+------
ox xo xx   ..&#x ♦  4  4 | 2  2  8 2  2 | 1 0  4  4  4 1 0 | 0 2  2  2 0 0 | 8 * *
ox .. xx8/3oo&#x ♦  8 16 | 0  8 16 8 16 | 0 1  8  0 16 8 2 | 0 0  8  0 2 1 | * 2 *
.. xo xx8/3oo&#x ♦ 16  8 | 8 16 16 0  8 | 8 2  0  8 16 0 1 | 1 0  0  8 2 0 | * * 2
```